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Finding the Fourth Proportional to 1,462.58, 2,194.14 and 1,256.57

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Solution

The fourth proportional to 1,462.58, 2,194.14 and 1,256.57 is: 1,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.58 : 2,194.14 = 1,256.57 : x
  2. Step 2: Convert to fraction form
    1,462.58/2,194.14 = 1,256.57/x
  3. Step 3: Cross multiply
    1,462.58x = 2,194.14 × 1,256.57
  4. Step 4: Simplify right side
    1,462.58x = 2,757,090.50
  5. Step 5: Solve for x
    x = 2,757,090.50/1,462.58
  6. Step 6: Final answer
    x = 1,885.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.